Circle O has a circumference of approximately 44 in.
What is the approximate length of the diameter, d2
7 in
14 in
22 in
44 in

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3

Answer: 3cups

Step-by-step explanation:

List all of the solutions.

3cups = 48 = y = cups = x =

Answer:

3cups

Step-by-step explanation:

Answer:

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Step-by-step explanation:

Given

Line A:

[tex]y = -\frac{2}{3}x - 4[/tex]

Line B:

[tex](-2,1)[/tex]

Required

Determine the equation of Line B

First, we need to determine the slope of A using

[tex]y =mx + b[/tex]

Where:

[tex]m = slope[/tex]

By comparison:

[tex]y = -\frac{2}{3}x - 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Since A and B are perpendicular:

The slope of B (m2) is:

[tex]m_2 = \frac{-1}{m}[/tex]

[tex]m_2 = -1/\frac{-2}{3}[/tex]

[tex]m_2 = -1 * \frac{-3}{2}[/tex]

[tex]m_2 = \frac{3}{2}[/tex]

The equation of B is calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (-2,1)[/tex]

[tex]m = \frac{2}{3}[/tex]

So, the equation becomes

[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]

[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]

Open bracket

[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]

Make y the subject

[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]

[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.

Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]

Like terms need to be combined to write the polynomial in standard form

Here, like terms are [tex]3x^3,2x^3[/tex]

Option A. is correct.

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

Answer:

25%

Step-by-step explanation:

The answer would be 25% because to get your answer you have to

first subtract the original amount by the newest amount which in this case is

96-72=?

After you have subtracted this you will get you answer of 24

96-72=24

Ans than what you do is take the number of how many people left and put it on top of the original amount like this

24/96 so in other words dividing

Than you will get your answer of 25%

Answer:

it can grow .125 inches an hour

Step-by-step explanation:

if thats not what u were looking for commet it and ill try to help more

Answer:

.125 inches per hour

Step-by-step explanation:

you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

Answer:

B and C are similar to A but E is same as A.

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Answer:

Step-by-step explanation:

Thank you ☺️☺️☺️

The total distance he travelled in kilometer is 8.2 km

Distance is the total movement of an object without any regard to direction.

Given:

On Monday he walked = 1, 200, 000 mm

On Tuesday he walked= 2,400 m

On Wednesday he walked = 4.6 km

As, 1mm = 1/100,000

1,200,000 mm = 1.2 Km

and, 1 m =1/1000 km

2400m = 2.4 km

Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km

Learn more about this concept here:

https://brainly.com/question/3128392

#SPJ2

Answer:

A) You climbed 15 feet up a tree before coming back down 15 feet

Answer:

The answer is below

Step-by-step explanation:

The electrical resistance R of a wire varies inversely with the square of its diameter d:

R ∝ 1 / d

Let k represent the constant of proportionality, hence we can represent the statement as an equation:

[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]

Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

Answer: 6.7x - y = -12

Answer:

3x+3

Step-by-step explanation:

The given expression is "The first integer plus the next consecutive integer plus the next consecutive integer."

Let the first integer is x.

Next consecutive integer of x = x+1

Other next consecutive integer of x+1 = x+1+1=x+2

ATQ,

The expression is :

=x+x+1+x+1+1

=3x+3

Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

Answer:

$18234

Step-by-step explanation:

Answer

8

Step-by-step explanation:

5+12=17 and 17-9=8

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

the answer is a line segment :)

Answer:

$1673

Step-by-step explanation:

$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height